The base of a rectangular prism has an area of 19.4 square meters and the prism has a volume of 306.52 cubic meters. Write an equation that can be used to find the height h of the prism. Then find the height of the prism.

The base of a rectangular prism has an area of 19.4 square meters and the prism has a volume of 306.52 cubic meters. Write an equation that can be used to find the height h of the prism. Then find the height of the prism.

Question
Solid Geometry
asked 2021-01-13
The base of a rectangular prism has an area of 19.4 square meters and the prism has a volume of 306.52 cubic meters. Write an equation that can be used to find the height h of the prism. Then find the height of the prism.

Answers (1)

2021-01-14
The volume of a rectangular prism is the product of its base area B and its height hh:
V=Bh
Substituting given, we have the equation:
306.52=19.4h
Divide both sides by 19.4:
\(\displaystyle\frac{{306.52}}{{19.4}}={h}\)
h=15.8
So, the height of the prism is 15.8 meters.
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